On a generalization for fibonacci quaternions

Serpil Halici and Adnan Karataş

Chaos, Solitons & Fractals, 2017, vol. 98, issue C, 178-182

Abstract: In this study, we introduced a quaternion sequence which has not been introduced before. We show that the new quaternion sequence that we introduced includes the previously introduced Fibonacci, Lucas, Pell, Pell–Lucas, Jacobsthal and Jacobsthal–Lucas quaternion sequences. We obtained the Binet formula and calculated the Cassini identity, summation formula and the norm value for this new quaternion sequence.

Keywords: Quaternion; Horadam sequence; Generalized fibonacci sequence (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:98:y:2017:i:c:p:178-182

DOI: 10.1016/j.chaos.2017.03.037

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